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Finding the Third Proportional to 181,832,717 and 277,288,877.25

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Solution

The third proportional to 181,832,717 and 277,288,877.25 is: 422,856,363.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,832,717 : 277,288,877.25 = 277,288,877.25 : x
  2. Step 2: Convert to fraction form
    181,832,717/277,288,877.25 = 277,288,877.25/x
  3. Step 3: Cross multiply
    181,832,717x = 277,288,877.25 × 277,288,877.25
  4. Step 4: Simplify right side
    181,832,717x = 76,889,121,446,565,568
  5. Step 5: Solve for x
    x = 76,889,121,446,565,568/181,832,717
  6. Step 6: Final answer
    x = 422,856,363.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.